DOCUMENT RESUME

ED 286 166 CS 008 935

AUTHOR McConkie, G. W.; And OthersTITLE Eye Movement Control during Reading: I. The Location

of Initial Eye Fixations on Words. Technical ReportNo. 406.

INSTITUTION Illinois Univ., Urbana. Center for the Study ofReading.

SPONS AGENCY National Inst. of Child Health and Human Development(NIH), Bethesda, Md.

PUB DATE Feb 87GRANT HD18116NOTE 23p.PUB TYPE Reports - Research/Technical (143)

EDRS PRICE MF01/PC01 Plus Postage.DESCRIPTORS *Cognitive Processes; *Eye Fixations; *Eye Movements;

Higher Education; Perceptual Motor Coordination;Psycholinguistics; Reader Text Relationship; *ReadingProcesses; Reading Research

ABSTRACTSixty-six college students read two chapters from a

contemporary novel while their eye movements were monitored. The eyemovement data were analyzed to identify factors that influence thelocation of a reader's initial eye fixation on a word. When the datawere partitioned according to the location of the prior fixation(i.e., launch site), the distribution of fixation locations on theword (i.e., landing site distribution) was highly constrained, normalin shape and not influenced by word length. The locations of initialfixations on words can be accounted for on the basis of fiveprinciples of oculomotor control: (1) a word-object has a specificfunctional target location; (2) a saccadic range error occurs thatproduces a systematic deviation of landing sites from the functionaltarget location; (3) the saccadic range error is reduced somewhat forsaccades that follow longer eye fixations; (4) there existsoculomotor variability that is a second, non-systematic source oferror in landing sites; and (5) the oculomotor variability increaseswith distance of the launch site from the target. (References, atable of landing site distributions, and five figures are appended.)(Author/SEC)

************************************************************************ Reproductions supplied by EDRS are the best that can be made *

* from the original document. *

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CENTER FOR THE STUDY OF READING::$4)1-1.0

Technical Report No. 406ODCV

EYE MOVEMENT CONTROL DURING READING:CII. THE LOCATION OF INITIAL

LW EYE FIXATIONS ON WORDS

G. W. McConkie, P. W. Kerr, M. D. Reddix, & D. Zola

University of Illinois at Urbana-Champaign

February 1987

University of Illinois at Urbana-Champaign51 Gerty Drive

Champaign, Illinois 61820

U R DEPARTMENT OF EDUCATIONOffice of Educational Research and Improvement

EDUCATIONAL RESOURCES INFORMATIONCENTER (ERIC)

his document has been reprOduced asr etved from the person or organtzattonOriginating it

Minor changes have been made to improvereproduction duality

Points of view or opinions stated in this document do not necessarily represent officialOERI position or policy

The work upon which this publication is based was performed pursuant to GrantNo. HD18116 of the National Institute of Child Health and Human Development. Itdoes not, however, necessarily reflect the views of this agency. The authors wish tothank Gary Wolverton for preparing computer programs to collect and reduce thedata from this study, and Dr. Arthur Jacobs for motivating and helping to createtr the data matrix used in the analyses. Nancy Bryant and John Grimes providedhelpful suggestions in preparing this manuscript.

C

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McConkie, Kerr, Redd; & Zola Initial Fixations on Words -1

Abstract

Sixty-six college students read two chapters from a contemporary novel while their eye movementswere monitored. The eye movement data were analyzed to identify factors that influence the locationof a reader's initial eye fixation on a word. When the datawere partitioned according to the locationof the prior fixation (i.e., launch site), the distribution of fixation locations on the word (i.e., landingsite distribution) was highly constrained, normal in shape, and not influenced by word length. Thelocations of initial fixations on words can be accounted for on the basis of five principles ofoculomotor control: A word-object has a specific functional target location, a saccadic range erroroccurs that produces a systematic deviation of landing sites from the functional target location, thesaccadic range error is reduced somewhat for saccades that follow longer eye fixations, there existsoculomotor variability that is a second, non-systematic source of error in landing sites, and theoculomotor variability increases with distance of the launch site from the target.

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 2

EYE MOVEMENT CONTROL DURING READING:I. THE LOCATION OF INITIAL EYE FIXATIONS ON WORDS

During reading, people tend to direct their gaze to a point just left of the center of a word morefrequently than to other locations. Rayner (1979) referred to this as the preferred viewing location.O'Regan (1981) elaborated on this preference in his convenient viewing position hypothesis,suggesting that each word has a location from which it is most likely to be identified. This locationdepends on the distribution of information across the word, but over a group of words, the averagewill be near their center. Readers learn to adjust their gaze to place the eyes at that "convenient"position, in essence tuning their oculomotor behavior for maximum performance under theconstraints of the visual system and characteristics of the text stimuli.

Mc Conkie and Zola (1984) argued on the basis of this tendency to send the eyes to the centers ofwords, that the eye movement guidance system directs the eyes in terms of word units during reading.These investigators identified eye fixations located at different distances to the left of a six-letterword, and examined the lengths of rightward (forward) saccades following these fixations. Thefrequency distributions of rightward (forward) saccades were sometimes uni-modal and sometimesbi-modal, depending on where the eyes were centered with respect to the word, furtherdemonstrating the word-based nature of eye guidance. McConkie and Zola (in press) suggested thatearly visual processes parse the text stimulus array into a hierarchical object structure, and that skilledreaders typically attend to, and move their eyes with respect to, objects at the word level.

The study reported here further investigated the tendency for readers to send their eyes to thecenters of words. A large set of readers' eye movement data, consisting of over 40,000 eye fixations,was analyzed to observe the effects of three variables on the distribution of initial fixation locations ina word: length of the word, distance of the eyes from the word during the prior eye fixation, and theduration of the prior fixation.

Increased word length could be expected to broaden the distribution of initial fixation locations on aword, which we Lder to as landing sites, for any of several reasons. First, if word-level objects serve astargets for eye guidance, longer words may place less constraint on appropriate landing sites, so lessprecision is exercised in programming the saccade. Second, if the eyes are sent to specific locations inthe word depending on where needed information is expected or peripherally localized, longer wordsprovide a wider range of potentially informative locations. Finally, if readers vary in their preferredfixation locations in words, longer words provide increased opportunity for this variance to occur,again broadening the distribution of landing sites in data combined across subjects.

The location of the eye fixation prior to a saccade to a word, which we refer to as the launch site forthat saccade, could be expected to influence both the most frequent landing site on a word, and thebreadth of the landing site distribution. Since saccades tend to undershoot their target and thistendency increases with saccade distance (Henson, 1979), it is expected that with more distant launchsites the distribution of landing sites would shift leftward in the word. Furthermore, with greaterdistance, it is likely that the reliability of eye placement will be reduced (de Bie, vaiL den Brink, & vanSonderen, 1987), thus leading to a broader landing site distribution.

Recent research indicates that longer oculomotor response latencies are associated with moreaccurate saccades (de Bie, van den Brink, & van Sonderen, 1987; Coeffe, 1987). Thus, it is possiblethat saccades launched following shorter fixations during reading will show a broader distribution oflanding sites within the target word. On the other hand, since the text pattern was visible duringprior fixations, it is possible that the accuracy of locating a target word and programming the saccadeto it does not depend on the duration of the eye fixation immediately preceding that saccade. In thiscase, fixation duration would have no influence on the distribution of landing sites in the word fixated

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 3

next. The analyses sought to distinguish between these alternatives, as well as to test the hypothesesstated above.

Methods

Data were taken from a series of studies conducted by McConkie, Reddix, and Zola (1985). Sixty-sixcollege students read the first two chapters of a contemporary novel, displayed one line at a time on acomputer screen. A reader could advance to the next line of text by pressing a button. The text was994 lines long with a maximum of 73 characters per line. Four characters subtended approximatelyone degree of visual angle. Eye movement data were collected during the reading of 302 of theselines, each of which contained a word location of interest in the studies. At this word location theoriginal word could be replaced by one of five alternative strings which violated constraints at theorthographic, lexical, syntactic, semantic, or discourse level. A sixth condition was a control conditionin which the original word remained in the text. For the current investigation, only data from thecontrol condition lines were used, and this was accepted as a sample of normal reading data for thesubjects. Depending on the study, this amounted to either 50 or 100 lines of text per subject, yieldinga total data matrix containing 43,668 eye fixations.

Subjects v, ere told that the text contained errors, but their task was simply to read the novel asnormally as possible. Fifteen times during reading they were asked questions about the content inorder to make sure that they were comprehending what they read. These questions never dealt withthe errors in the text.

Eye movements were monitored using a Dual Purkinje Image Eyetracker (Cornsweet & Crane, 1973)sampling eye position every ms. Subjects required one or two two-hour sessions to complete thestudy, depending on their reading speed and ease of eyetracking.

Results

Preferred Viewing Position

Figure 1 presents fixation location data for the first fixation made on words of different lengths. Thenumber of eye fixations on which these percentages are based ranges from 1878 to 7089 for thedifferent word lengths. For words with four or more letters, there are more fixations near the centerthan at either end. In most cases, in agreement with previous observations (O'Regan, 1981; Rayner,1979; Zola, in press), the most frequently fixated location is at, or just left of, the center of the word.

[Insert Figure 1 about here.]

Influence of Launch Site

Where the eyes land in a word (i.e., the landing site) depends strongly on the location of the priorfixation (i.e., the launch site). This is illustrated in Figure 2, which shows the distribution of landingsites on four-, six- and eight-letter words following launch sites at different distances to the left of theword. Launch sites and landing sites are indicated by designating a particular letter position as zeroand indicating character positions to the left of that location with negative numbers, and characterpositions to the right with positive numbers. In Figure 2, the space immediately to the left of theword is indicated by zero. Hence, a launch site of -1 is actually two letter positions to the left of thefirst letter of the word.

Each curve in Figure 2 shows a strong tendency for the eyes to go to a particular part of the word, butthe most frequently fixated location varies with the launch site. When the launch site lies further tothe left of the word, the most preferred landing site in the word also shifts to the left.

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McConicie, Kerr, Reddix, & Zola Initial Fixations on Words - 4

[Insert Figure 2 about here.]

The landing sites in a word, given a constant launch site and word length, appear to 1)e normallydistributed. Therefore, the normal curve was fit to 35 landing site distributions, representing four- toeight-letter words, with launch sites of -1 to -7 with respect to the space in front of the word (.5 to 2degrees of visual angle to the left of the word). This was accomplished by using the PAR programfrom the BMDP statistical package (Dixon, 1981). In each case, the dependent variable was theproportion of initial fixations on the word that were centered at each of the letter positions in thatword, including the space immediately to the left of it.

Table 1 presents the results of fitting curves to those distributions for which this is appropriate.Other distributions have too few fixations, or do not have the type of relative maximum that isnecessary for fitting a normal curve. Table 1 includes the mean, standard deviation, and at erageresidual (i.e., mean of the absolute values of the differences between the best fit curve and each actualdata value), for each of the distributions where estimation is possible, plus the total nulnber offixations in the distribution. Figure 2 presents the fitted curves for a sampling of these distributions.

[Insert Table 1 about here.]

Five of the cases included in Table 1 have landing site distributions with a mode on the final letter ofthe word. In these cases, without a clear relative maximum, a true fit of the normal curve was notpossible, and the obtained parameters are questionable. Therefore, these instances are not used infurther data presentation. In other cases, as seen in Figure 2, the fit was consistently quite good, withan average residual of .018. We condude that the obtained parameters for mean and standarddeviation can be accepted as characterizing the distributions, and can be used to test hypothesesabout changes in the central tendency and variation of landing site distributions as a function of thevariables being investigated. There is some tendency for obtained data values at the ends of thewords to be higher than expected, and a rationale for this departure from normality is presented later.

Effect on mean landing site. Estimated mean landing sitewas plotted against launch site for four- toeight-letter words. For each word length, the relationship is linear with very similar slopes, rangingfrom -0.45 to -0.53 and averaging -0.49 and with y-intercepts of these regression lines that increasewith word length. However, when the estimated mean landing sites were plotted against launch sitemeasured from the center of the word, rather than from its beginning, the regression lines cametogether, as shown in Figure 3. From the lines fit to the means for each word length, a predictedmean landing site was calculated for a launch site eight character positions to the left of the center ofthe word (the middle of the launch site range studied). These predicted weans were within three-tenths of a character position from each other, ranging from -0.6 to -0.9 character positions from thecenter of the word, and averaging -0.7.

[Insert Figure 3 about here.]

From these results, it is concluded that word length has very little effect on the mails of the landingsite distributions. Rather, the means of these distributions are simply a linear function of thedistance of the launch site from the center of the word. Furthermore, for each character positionfurther to the left that the launch site lies, the mean of the landing site distribution in a word isshifted 1/2 character position to the left. Finally, the mean of the ' anding site distribution is at thecenter of the word when the launch site is between six and seven character positions (1.50 to 1.75degrees) to the left of the center of the word for all word lengths studied. When the launch site iscloser than this, the mean is to the right of the center of the word; when it is fartheraway, the meanis to the left of the center.

Effect on landing site variability. Figure 4 presents a plot of the estimated standard deviations of thelanding site distributions as a function of the distance of the launch site from the center of the word.

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 5

There is a clear trend for landing site distributions to show greater variability when the launch site ismore distant.

[Insert Figure 4 about here.]

Influence of Word Length

Effect on mean landing site. As shown 'n 'igure 3, word length appears to have little influence onthe mean of the distribution of landing sites on words, once distance of the launch site from themiddle of the word is taken into account. The data for eight-letter words is slightly below that forshorter words. This finding receives further comment in the discussion section.

Effect on landing site variability. In order to determine whether there is a relationship between thelengths of words and the estimated standard deviation of the distributionof landing sites on them, itwas necessary to hold launch site constant. This was accomplished by grouping the standarddeviations presented in Table 1 by launch site as measured from the center of the word. Thisprocedure yielded groups of standard deviations for words of different lengths from launch sitesranging from -4.5 to -10.5. For each pair of word lengths in each group in which word length differedby two letter positions, the slope and y-intercept of the line joining them was calculated. Thus, theseslopes indicated the change in standard deviation that resulted from a 33% to 50% increase in wordlength. The median value of the 14 resulting slopes was .005, indicating little, if any, change withword length. Thus, with launch site held constant, there is no evidence that the variance of landingsite distributions increases for longer words.

Influence of Fixation Duration

The data were examined to determine whether there is greater variability in landing sites followingshorter eye fixations. This was accomplished by partitioning the data on the basis of prior eye fixationduration so that the means and standard deviations of the landing site distributions could becompared as a function of prior fixation time. The four categories used were 20-119, 120-219, 220-319, and 320-519 ms. In order to permit this breakdown, data were collapsed across pairs of wordlengths and pairs of launch sites. A landing site eistribution was obtained for each prior fixationduration category, for words of length 5-6 and 7-8, and for launch sites from -5 to -6, -7 to -8 and -9to -10, as measured from the center of the word. This selection excluded conditions with very smallsample sizes, and without a relative maximum in their landing site distributions.

Examination of the data indicated that there were still three conditions that could not be fitappropriately with a normal curve. The estimated means from the remaining distributions arepresented in Figure 5. Each point represents an estimated mean, based on a sample size between 35and 1147, with the largest sample sizes appearing in the two middle fixation duration categories.Each line represents the means of the landing site distributions following fixations of differentdurations for a given word length-launch site condition.

[Insert Figure 5 about here.]

The lines in Figure 5 are of different heights due to the previously discussed effect of launch site.However, the most interesting aspect of Figure 5 is the interaction between condition and fixationduration. The means for the different conditions are furthest apart following short fixations, andshow a definite tendency toward convergence following longer fixations.

In order to determine whether this convergence was due in some way to systematic differences in thevariability of the distributions, estimates of the standard deviations of each distribution wereexamined. Several of the distributions for the extreme fixation duration categories had small samplesizes, and the standard deviations of these varied greatly, ranging from 1.17 to 2.52. However,

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 6

estimated standard deviations for 13 distributions having sample sizes greater than 100, including onefor the shortest fixations and two for the longest, ranged between 1.33 and 1.62 with only oneexception, and showed very little relationship with prior fixation duration. While there is a need forfurther investigation of saccades following very short eye fixations, the current data did not supportthe hypothesis that variance in landing site distributions is reduced following longer eye fixations.

These data indicate that mean landing site does vary somewhat with prior fixation duration. Theconsistency of landing sites, as indicated by the standard deviation of landing site distributions, doesnot appear to increase with fixation duration, but the target location within the word, as indicated bythe mean of the distribution, does change, apparently converging toward a point slightly to the left ofthe center of the word

Discussion

Relation of Landing Site Distribution to Preferred Viewing Position

The results of this study have confirmed the observation that led to the Preferred Viewing Position(Rayner, 1979) and Convenient Viewing Location (O'Regan, 1981) hypotheses, namely, that duringreading the eyes go most frequently to a location slightly left of center in a word. However, the studyhas shown that this tendency is not a fundamental phenomenon itself, but instead is the result ofmore basic phenomena. The Preferred Viewing Position was simply the maximum point in adistribution of all fixations on the word, which is referred to as the composite distribution. Thiscomposite distribution is actually a summation of many distributions of landing sites on the word,each contingent on the site from which the saccades were launched. These more fundamentaldistributions are referred to as Launch Site Contingent Landing Site Distributions, or simply as landingsite distributions. Landing site distributions approximate the normal curve, though with somesystematic deviztion that will be discussed later. We refer to the estimated mean of a landing sitedistribution as the Estimated Mean Landing Site, or simply as the mean landing site, for saccadeslaunched from a particular location. This is not the same as the mean eye position of all fixations ona word following saccades from a given location. Rather, it is a parameter of a distribution fit tothose data.

The composite distribution, investigated in earlier studies, is complex in two ways. First, it includesboth initial and later fixations on the word. The present paper has not attempted an analysis of thelocations of refixations of a word. Second, for initial fixations on the word, which predominate in thedata from skilled readers, the composite distribution includes a number of landing site distributions,each resulting from saccades coming from a different launch site. Thus, the particular shape of agiven composite distribution, and hence the Preferred Viewing Position, is largely determined by theproportion of initial fixations on the word, and the frequency with which these fixations werepreceded by fixations at different launch sites.

Relation of Landing Site Variance to Accuracy of Fixating Small Targets

The variance of the landing site distributions is much smaller than that of the composite distribution,as can be seen by comparing the distributions in Figures 1 and 2. The fact that landing site varianceshows little relation to word length within the range of lengths studied indicates that the oculomotorsystem is not simply avoiding blank spaces in placing the eyes in a word (Abrams & Zuber, 1972-73).If that were the case, the standard deviation would be much larger for longer words, a relationshipnot observed in the data. Apparently, then, the visual pattern of a word provides the oculomotorsystem with a specific target site that is much more constrained than simply the space occupied by theword. Rather, it is as if the center of the word, or perhaps some "center of gravity" within the word(Kaufman & Richards, 1969), was the target used in computing the length of the saccade taking theeyes to that word.

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 7

If the target site for the saccade is a specific location within the word, then this fact raises thequestion of whether the variability of landing sites in a word, Oven a particular launch site, is similarto the variability obtained with smaller targets that are used in studies of oculomotor control. Thatis, does a word that is 1-2 degrees in length provide just as constrained a target location for the nextsaccade as does a .1 to .5 degree target to which subjects attempt to move their eyes? Thiscomparison is made difficult by the fact that most studies of oculomotor control have used muchlonger saccades than those typically observed in reading. However, Kapoula (1985) examined thelocations of fixations on a .5 degree square target following saccades of about 2.7 degrees, similar tothe 2.75 degrees distance in the -11 launch site condition of the present study. She obtained standarddeviations of fixation location distributions ranging from .28 to .36 degrees for individual subjects,with an average of .34 degrees, smaller than the .48 degrees standard deviation obtained in thepresent study following saccades of comparable length. However, some of this difference could bethe result of variability among our readers in the precise location within a word that serves as thetarget location, since, unlike Kapoula, our data are combined across many subjects. A future studyshould obtain enough reading eye movement data from individuals to examine the characteristics oftheir individual landing site distributions, and to relate these to distributions of fixation locationswhen the same subjects send their eyes to small targets at distances similar to those of saccadestypically made during reading.

Kapoula (1985) observed an increase in variability of fixation locations following saccades of differentlengths (see also de Bie, van den Brink and van Sonderen, 1987). As in our data, the further awaythe target, the greater the variability in landing sites when trying to go to it, a phenomenon typical ofmotor control (Poulton, 1981). The reading data showed a strong nonlinear relationship, but thelinear component had a slope of .097, slightly greater than the .064 reported by Kapoula, which mayreflect differences between the tasks in the two studies.

The Basis for Launch Site Influences on Landing Sites

Why does the mean landing site vary with launch site? Consider two extreme data patterns thatcould have been obtained in this study. First, it would have been possible to find that the eyes alwaysgo to the centers of words, with some random error in achieving that target. In the extreme case, wewould have obtained no relation between launch site and mean landing site (i.e., slope z 0), indicatinga totally word-based determination of fixation location. Second, it would have been possible to findthat the eyes are simply sent a particular distance, regardless of word locations, again with somevariability. In this case, there would have been a perfect relationship between the mean launch siteand the mean landing site (i.e., slope = 1), with words having no influence on fixation location. It isinteresting, then, that the actual data yielded a slope that is just halfway between these extremes (i.e.,slope = .49). There are three possible explanations that can account for this result.

First, it would be possible to obtain a slope of .49 from distributions containing a mixture of two typesof saccades, some of which are directed to the centers of words, and some of which are simply cast acertain average distance. If this were the case, each landing site distribution would actually be acomposite of two distributions of saccades. However, this wcoild have produced much greaterdifferences in standard deviations of landing site distributions with different launch sites than wereobserved in the data. Also, estimated standard deviations of landing site distributions should haveincreased with word length, and on longer words there should have been conditions where thesedistributions became bimodal in shape. None of these predictions was confirmed.

Second, changes in mean landing site with different launch sites could also be predicted from a"peripheral preview" hypothesis, in which partial information is assumed to be acquired from a wordduring the fixation prior to that on which it is directly fixated (Rayner, Well, Pollatsek, & Bertera,1982). The closer the eyes are to a word, the more information might be obtained from the earlyparts of that word. For example, initial letters in the word might be identified during the fixationprior to gcing to that word (Rayner, McConkie, & Zola, 1980). Furthermore, with greater

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 8

identification of the first part of the word, the eyes could be sent further into the word for the nextfixation. Thus, the fixation location within the word that would be most effective for furtherprocessing would shift rightward as the prior fixation comes closer to the word, leading to the shift inmean landing site observed in the study. However, such an hypothesis would predict a non-linearrelationship between launch site and mean landing site. Little or no letter-level information isacquired during reading more than about seven or eight letter positions to the right of the currentlyfixated letter (Underwood & Mc Conkie, 1985). Thus, this hypothesis could not account for acontinued linear relationship, such as was found in the current investigation, but would predict anegatively-accelerated curve that asymptotes at a launch site no more than seven letter positions tothe left of the word.

A third hypothesis, and the one that is most consistent with the current data, is that the initialplacement of the eyes within a word is determined strictly byprinciples of oculomotor control. Earlyvisual processes parse the text stimulus pattern into objects, perhaps organized hierarchically(Duncan, 1984), and the reader selects a word-object as the target for a given saccade (McConkie &Zola, 1987). Of course, it is possible that this selection might be made for a saccade beyond theimmediately following one. There is a specific location within words of a given length that is the truetarget for the saccade. We refer to this as the functional tort location. Within the range of wordkngths studied, it is appropriate to represent the functional target location as the center of the word,though in reality it is unclear just how this locationcan be positively identified. For eight-letter wordsthe functional target location may have been slightly further to the left than it was for other wordlengths, as indicated by the fact that the line relating mean landing site to launch site fell slightlybelow the lines for other word lengths in Figure 3. Thus, the functional target location may actuallybe some sort of "center of gravity" within the word (Kaufman & Richards, 1969) with less weightbeing given to more distant regions of longer words. This possibility requires further study.

As with all muscle control, however, there is some error in directing the body part quickly to thefunctional target location. This error has two t amponents, systematic and random. First, there is asystematic error related to the length of the movement, which Poulton (1981) refers to as theconstant error (CE). This has appeared in oculomotor studies as a tendency to undershoot the target(Henson, 1979) typically by about 10% of the total distance (Becker, 1972). However, Kapoula(1985; Kapoula & Robinson, 1986) has recently demonstrated that, at least under somecircumstances, this is actually an example of a range effect in muscle control that has been describedby Poulton (1981). In this range effect, when the eyes are close to a target, thus requiring shortsaccades, the eyes tend to overshoot their target, whereas when the eyes are further ;may, thusrequiring longer movements, they tend to undershoot their target. Kapoula and Robinsondemonstrated that the point at which an accurate mean saccade length is obtained (i.e., the point atwhich overshoots and undershoots are equal) varies with the lengths of saccades being executedwithin the task. Thus, it is the range of saccade lengths required in the task that determines the pointof equality, with this point tending to be toward the shorter end of the continuum of lengths ofsaccades being executed. As Poulton (1981) points out, this is actually a central tendency bias, orcontraction bias, since the range of saccade lengths is smaller than the range of target distances towhich the eyes are sent in the task. We refer to this source of constant error as the saccadic raveerror.

The shift of mean landing site as launch site varied in the current study can therefore be understoodas the manifestation of a basic principle of controlled muscle movement, realized in the form of thesaccadic range error. In order to measure the actual amount of error, the deviation of the mean fromthe target, it would be necessary to know where the functional target is within the word. This is anempirical issue that cannot be firmly established from the current data. However, if we assume thatthe functional target is the center of the word, then the mean of the landing site distribution isaccurate when the launch site is between six and seven character positions to the left of that target.For saccades coming from this region, undershoots and overshoots are balanced. This is slightlybelow the median saccade length for the data set, which was 7.0 character positions.

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McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 9

The second type of error is random variation of landing sites around the mean, which is quitenormally distributed and increases with distance to the target. This source of error is referred to as°odomete variability. The size of this error is indicated by the standard deviations of the landing sitedistributions, though these standard deviations are undoubtedly inflated somewhat due to inaccuracyin the eye position signal, and to the fact that each launch site was a zone, rather than a point. Ifthere are individual differences in the functional target within words, then they also inflate thestandard deviations.

Finally, the degree to which the final location of the eyes is displaced from the functional targetlocation by the saccadic range influences is determined by the duration of the preceding eye fixation.When that fixation is relatively short, the saccadic range influences are greater, thus spreading out themean landing sites for saccades coming from different launch sites, whereas when the prior fixation islonger, the range error is reauced and the mean landing sites converge somewhat within the word.At the same time, the oculomotor variability is affected very little by the duration of the priorfixation, though more data are needed in the case of very short fixations (i.e., under 120 ms). Thus,the location of the target word has a strongly constraining influenceon the lengths of saccades beingsent to that word, even following relatively short eye fixations. Also, there is a large saccadic rangeerror even following rather long eye fixations. Since the increase in accuracy that results from longerfixation time is specific to the constant error, apparently without affecting the oculomotor variability,it is likely that this results from more accurately locating the functional target in space, rather thanfrom increasing accuracy in the oculomotor programmingand control itself. Particularly in the caseof short fixations, it is possible that the programming of the saccade is actually based on informationconcerning the location and length of the targettJ word that was acquired during a prior fixation.This remains to be studied using eye movement contingent display manipulation techniques, by whichthe location and length of a word can be changed between fixations (Reder, 1973).

In summary, it appears that the current data can be well accounted for by a strict oculomotor controltheory of the location of initial fixations in words during skilled reading. Once a word-object hasbeen selected as the target for a saccade during reading, the location of the fixation on that word isdetermined by five principles: (1) a stimulus object has a functional target location, (2) a saccadicrange error occurs which produces an error in the mean landing site that is a linear function of thedistance of the launch site from the functional target location, (3) the influence of the saccadic rangeerror is lessened following longer eye fixations, (4) oculomotor variability occurs in the form ofrandom placement error, and (5) such oculomotor variability increases with the distance of thelaunch site from the target.

Implications for the Use of Eye Movements in Studying Cognition

There are two implications of these results that are important to consider when using eye movementdata to study cognition. First, it is important to note that the combination of systematic and randomerror in landing site distributions on a word can lead to eye fixations that were destined for one wordbut are actually centered on another. This is particularly the case for short words. In thedistributions of landing sites (see Figure 2), there are cases where the mean of the distributionappears to have actually been at the edge of the word or even on the adjacent word. There are othercases where the peak of the distribution is well within the word, but the distribution appears toextend beyond the word boundaries into an adjacent word. Thus, the set of initial eye fixations on aword consist of a combination of some fixations intended for that word, and others that were actuallyintended for an adjacent word. Of course, these mislocated fixations would occur most frequently atthe beginning and ends of words. This is probably the reason that obtained landing site frequenciesat the beginnings and ends of words in the current study tended to be higher than the frequenciesexpected from fitting the normal curve to the data. Furthermore, since there is a bias towardundershooting a target location, and since the landing site distribution appears quite symmetric, thereare probably more mislocated fixations at the ends of words (i.e., undershooting the following word)

11

Mc Conine, Kerr, Reddix. & Zola Initial Fixations on Words -10

than at the beginnings of words (i.e., overshooting the prior word). Because of these factors, moreaccurate estimates of the landing site distributions will require simultaneous fitting of curves to datafor two or more adjacent words, allowing the overlap of the distnbut ions for different words to betaken into account. Fitting multiple adjacent distributions will also yield estimates of the frequenciesof these "mislocated" fixations. Mislocated eye fixations serve as a source of error for forms of dataanalysis that assume that fixation time on a word is a measure of processing time for the fixated word(Just & Carpenter, 1980).

A second implication of the current results concerns the relation between the oculomotor system andhigher cognitive processes during reading. Although eye movements must be controlled in such away as to meet the needs of language processing. the current study indicates that at least one aspectof eye guidance is largely free from cognitive control, namely, where the initial eye fixation on a wordis located within that word.

12

McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 11

References

Abrams, S. G., & Zuber, B. L (1972-73). Some temporal characteristics of information processingduring reading. Reading Research Quarterly, 8, 42-51.

Becker, W. (1972). The control of eye movements in the saccadic system. BibliothecaOphthalmologica, 82, 233-243.

Bie, J. de, Brink, G., van den, & Sonderen, J. F. van (1987). The systematic undershoot of saccades:A localization or an oculomotor phenomenon? In J. K. O'Regan & A. Levy-Schoen (Eds.), Eyemovements from physiology to cognition (pp. 85-95). Amsterdam: Elsevier North-Holland.

Coeffe, C. (1987). Two ways of improving saccade accuracy. In J. K. O'Regan & A. Levy-Schoen(Eds.), Eye movements from physiology to cognition (pp. 105-115). Amsterdam: Elsevier North-Holland.

Cornsweet, T. N., & Crane, H. D. (1973). Accurate two-dimensional eye tracker using first and fourthPurkinje images. Journal of the Optical Society of America, 63, 6-13.

Dixon, W. J. (1981). BMDP Statistical Softwarl. Berkeley: University of California Press.

Duncan, J. (1984). Selective attention and the organization of visual information. Journal ofExperimental Psychology: General, 113, 501-517.

Henson, D. B. (1979). Investigation into corrective saccadic eye movements for refixation amplitudesof 10 degrees and below. Vision Research, 19, 57-61.

Just, M. A., & Carpenter, P. A. (1980). A theory of reading: From eye fixations to comprehension.Psychological Review, 87, 329-354.

Kapoula, Z. (1985). Evidence for a range effect in the saccadic system. Vision Research, 25, 1155-1157.

Kapoula, Z., & Robinson, D. A. (1986). Saccadic undershoot is not inevitable: Saccades can beaccurate. Vision Research, 26(5), 735-743.

Kaufman, L, & Richards, W. (1969). Spontaneous fixation tendencies for visual forms. Perceptionand Psychophysics, 5, 85-88.

McConkie, G. W., Reddix, M., & Zola, D. (1985, November). Chronometric analysis of languageprocessing during eye fixations in reading. Paper presented at the Annual Meeting of thePsychonomic Society, Boston, MA.

McConkie, G. W., & Zola, D. (1984). Eye movement control during reading: The effects of wordunits. In W. Prinz & A. F., Sanders (Eds.), Cognition and Motor Processes. Berlin Heidelberg:Springer-Verlag.

McConkie, G. W., & Zola, D. (1987). Visual attention during eye fixations while reading. In M.Coltheart (Ed.), Attention and performance XII (pp. 385-401). Hillsdale, NJ: Erlbaum.

O'Regan, K. (1981). The "convenient viewing position" hypothesis. In D. F. Fisher, R. A. Monty, &J. W. Senders (Eds.), Eye movements: Cognition and visual perception (pp. 289-298). Hillsdale,NJ: Erlbaum.

13

McConkie, Kerr, Reddix, & Zola Initial Fixations on Words - 12

Poulton, E. C. (1981). Human manual control. In V. B. Brooks (Ed.), Handbook of physiology(Section 1, Volume II, Part 2) (pp. 1337-1389). Bethesda, MD: American Physiology Society.

Rayner, K. (1979). Eye guidance in readinc,-. Fixation locations within words. Perception, 8, 21-30.

Rayner, K., McConkie, G. W., & Zola, D. (1980). Integrating information across eye movements.Cognitive Psychology, 12, 206-226.

Rayner, K., Well, A. D., Pollatsek, A., & Bertera, J. H. (1982). The availability of useful informationto the right of fixation in reading. Perception and Psychophysics, 31, 537-550.

Reder, S. M. (1973). On-line monitoring of eye position signals in contingent and noncontingentparadigms. Behavior Research Methods and Instrumentation, 5, 218-228.

Underwood, N. R., & McConkie, G. W. (1985). Perceptual span for letter distinctions during reading.Reading Research Quarterly, 20, 153-162.

Zola, D. (in press). Redundancy and word perception during reading. Perception and Psychophysics.

14

Table 1

Estimated Mean and SD of Landing Site Distributions

Launch

Site Mean

4-letter Words

SD Res" N'' Mean

5-letter Words

SD Res N Mean

6-letter Wort s

SD Res N Mean

7-letter Words

SD Res N Mean

8-letter Words

SD Res N

-1 3.50' 1.03 .035 268 4.35' 1.32 .038 294 4.51 1.35 .023 329 4.82 1.53 .006 229 4.61 1.67 .021 113

-2 3.49' 1.00 .032 467 3.85 1.24 .017 452 4.16 1.44 .009 454 4.38 1.55 .014 308 4.37 1.34 .026 153

-3 3.04' 1.36 .034 630 3.61 131 .019 585 3.70 1.39 .010 453 3.86 1.49 .016 323 3.73 1.57 .018 192

-4 2.41 1.47 .023 775 2.91 1.45 .015 589 3.07 154 .005 486 3.50 1.47 .016 351 3.39 1.44 .021 175

-5 2.09 133 .021 677 2.51 1.57 .014 595 2.51 154 .009 630 2.84 1.75 .007 344 2.95 1.61 .021 194

-6 1.53 1.61 .026 689 2.08 1.75 .018 630 2.26 1.89 .025 441 2.56 2.00 .029 342 2.35 2.30 .030 143

-7 0.96 1.45 .033 556 1.13' 1.66 .032 526 1.70 1.73 .018 398 2.00 2.00 .016 247 2.05 2.14 .013 156

indicates a distribution in which the mode is not at a relative maxima, but is at the extreme left or right. In this case, the curve-fitting algorithm did not fit the data well, and the estimated parametersare questionable.

" Each value in the Res column is the average of the absolute values of the residuals for the data points in the distribution. Eachvalue in the N column is the number of data values (observations)in the distribution, and hence is the N on which individual proportions were based.

Launch site is measured in character positions relative to the space immediately to the left of the word, designated character position zero. Negative numbers indicatepositions to the left of thatspace.

15 1 6

Figure Captions

Figure 1. Proportion of eye fixations that are centered at different letter positions within words ofdifferent lengths. Letter position 0 is the space to the left of the word. Proportions are based onsample sizes of 1878 to 7089 eye fixations. For words of four or more letters, fixations are morefrequent in the center than toward the ends.

Figure 2. Landing site distributions for different launch sites and word lengths. Letter locations aremeasured with respect to the space to the left of the word, which is designated character position 0.Locations to the left are designated by negative numbers; location to the right by positive numbers.Also presented is the best fit normal curve for each distribution. Parameters and sample sizes arepresented in Table 1.

Figure 3. Estimated means of landing site distributions as a function of launch site for words ofdifferent lengths. Distances are from the center of the word. Best fit linear curves are also presentedfor each word length. Average slope is 0.49 character position.

Figure 4. Estimated standard deviations of landing site distributions for different launch sites andword lengths, measured as distance from the center of the word. The data are fit by a curve of theform Y = A & BX3, where A = 1.318 and B= .000518.

Figure 5. Estimated means of the landing site distributions following fixations of different durationsfor different word length-launch site combinations.

17

30

25 .4040

44*

°de .m.4..44* 41/4

20 a. . N.

40

r'4040

/ ..* A.72,......"..ie i,

15 vt:.'. air '. ..il. .40 ..

(3. ,.....10

A------a length - 3

e------0 length - 4

.--.- length - 5

a Ea length - 6

- - -- length -7--- length -8

Mila ..... "I

I I i I2 3 4 5 6 7 8

Letter Position in Word

18

LaunchSite

-1

- 3

- 5

-7

4

3

2

0

4

3

2

0

4-Letter Words

2

O 1 2 3 4 5 6 7

4

2

0 2 3 4 5 6 7

1 2 3 4

6-Letter Words 8-Letter Words

4

3

2

05 6 7

4

3

2

0 I 2 3 4 5 6

0 2 3 4 5 6 7

--a a L.0 I 2 3 4 5 6 7

Character Position in Word

19

4

3

2

0

O

1-1 2 3 4 5 6

+1

0

-1

-2

-4 -5 -6 -7 -8 -9

Launch Site(distance from center of word)

20

-10 -11 -12

0-- -.-0 4-letter words

------ 5-letter wordso 6-letter words

ii,- - 7-letter wordsA-- --.. 8-letter words

2.4

2.2

2.0

1.8

1.6

1.4

1.2 ...-

1.0

0

A

. g

00

0

0

0

A

o o 4-letter word0

5-letter wordo

o 6-letter word

7-letter word

8-letter word

-4 -5 -6 -7 -8 -9 -10 -11 -12

21

Launch Site(distance from center of the word)

2,,,

5

4

3

2

a o WL: 5-6, LS: 5-6

--- - WL: 5-6, IS s-8*---4 WL: 7-8, LS: 5-6G----- -0 WL: 7-8, LS: 7-8

* WL:7-8, LS: 9-10

I20-119

I120-219

I220-319

Duration of Prior Fixation

4320-499